The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution...


The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution that is approximately normal. Construct a​ 95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmer​ Joe's claim that type 1 seed is better than type 2​ seed?


Type_1 Type_2
2047 2018
1961 1981
2135 2063
2445 2449
2285 2191
1957 1959
2112 2148
1422 1441


In this​ example, μd is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the type 1 seed yield minus the type 2 seed yield.


The 95% confident interval is __ <><>


(round to two decimal places as needed)


What does the confidence interval suggest about farmer​ Joe's claim that type 1 seed is better than type 2​ seed?





A. Because the confidence interval includes ​zero, there is sufficient evidence to support farmer​ Joe's claim.




B. Because the confidence interval only includes positive values and does not include​zero, there is sufficient evidence to support farmer​ Joe's claim. This is the correct answer.





C. Because the confidence interval includes zero, there is not sufficient evidence to support farmer​ Joe's claim.





D. Because the confidence interval only includes positive values and does not include ​zero, there is not sufficient evidence to support farmer​ Joe's claim.




Jun 04, 2022
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